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Finding the Third Proportional to 339,180 and 536,958

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Solution

The third proportional to 339,180 and 536,958 is: 850,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,180 : 536,958 = 536,958 : x
  2. Step 2: Convert to fraction form
    339,180/536,958 = 536,958/x
  3. Step 3: Cross multiply
    339,180x = 536,958 × 536,958
  4. Step 4: Simplify right side
    339,180x = 288,323,893,764
  5. Step 5: Solve for x
    x = 288,323,893,764/339,180
  6. Step 6: Final answer
    x = 850,061.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.